# How do you find the value of the discriminant and determine the nature of the roots #x^2 + 9 = 6x#?

##### 2 Answers

Jul 12, 2016

The given quadr. eqn. has two equal roots.

#### Explanation:

The discriminant

The quadr. eqn. given to us is

Therefore,

Jul 12, 2016

double-root at x = 3

#### Explanation:

y = x^2 - 6x + 9 = (x - 3)^2

There is a double-root at x = 3. The parabola is tangent to x-axis

at x = 3. Vertex (3, 0)